A minimax characterization for eigenvalues of hermitian pencils

B. Najman; Q. Ye

doi:10.1016/0024-3795(91)90071-4

A minimax characterization for eigenvalues of hermitian pencils

B. Najman, Q. Ye

Mathematics

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

We establish a minimax characterization for extreme real eigenvalues of a general hermitian matrix pencil. The results extend the previous generalizations for real diagonable hermitian pencils and the classical Courant-Fischer theorem.

Original language	English
Pages (from-to)	217-230
Number of pages	14
Journal	Linear Algebra and Its Applications
Volume	144
Issue number	C
DOIs	https://doi.org/10.1016/0024-3795(91)90071-4
State	Published - Jan 15 1991

Bibliographical note

Funding Information:
*On leave from University of Zagreb ‘Research supported by a University of Calgary Research Fellowship

ASJC Scopus subject areas

Algebra and Number Theory
Numerical Analysis
Geometry and Topology
Discrete Mathematics and Combinatorics

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title = "A minimax characterization for eigenvalues of hermitian pencils",

abstract = "We establish a minimax characterization for extreme real eigenvalues of a general hermitian matrix pencil. The results extend the previous generalizations for real diagonable hermitian pencils and the classical Courant-Fischer theorem.",

author = "B. Najman and Q. Ye",

note = "Funding Information: *On leave from University of Zagreb {\textquoteleft}Research supported by a University of Calgary Research Fellowship",

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N2 - We establish a minimax characterization for extreme real eigenvalues of a general hermitian matrix pencil. The results extend the previous generalizations for real diagonable hermitian pencils and the classical Courant-Fischer theorem.

AB - We establish a minimax characterization for extreme real eigenvalues of a general hermitian matrix pencil. The results extend the previous generalizations for real diagonable hermitian pencils and the classical Courant-Fischer theorem.

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A minimax characterization for eigenvalues of hermitian pencils

Abstract

Bibliographical note

ASJC Scopus subject areas

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